Description

• Title:
  On solutions vanishing at infinity of infinite systems of quadratic Urysohn integral equations
• Creator:
  Banaś, Józef;
  Madej, Justyna
• Description:
  The paper is devoted to present a result on the existence of solutions of an infinite system of quadratic integral equations of the Urysohn type considered on the real half-axis. Our investigations are conducted in the Banach space consisting of bounded and continuous functions defined on the real half-axis with values in the space of real sequences converging to zero. That space is equipped with the standard supremum norm. The main tools used in our study is the technique of measures of noncompactness and the Schauder fixed point principle. We illustrate our result by a suitable example.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2024 Józef Banaś, Justyna Madej;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2024.03.03
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 63, No 1 (March 2024); 53 - 77;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/49155/37892 ;https://apcz.umk.pl/TMNA/article/view/49155/37893
• Subject:
  Space of continuous and bounded functions;
  sequence space;
  measure of noncompactness;
  Schauder fixed point theorem;
  infinite system of integral equations;
  Primary: 47H08;
  Secondary: 45G10
• Identifier: https://apcz.umk.pl/TMNA/article/view/49155
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other